4133120 has 36 divisors (see below), whose sum is σ = 9903180. Its totient is φ = 1652736.

The previous prime is 4133119. The next prime is 4133131. The reversal of 4133120 is 213314.

4133120 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 1364224 + 2768896 = 1168^2 + 1664^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4133095 and 4133104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335 + ... + 2894.

Almost surely, 2^4133120 is an apocalyptic number.

4133120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4133120 is an abundant number, since it is smaller than the sum of its proper divisors (5770060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4133120 is an equidigital number, since it uses as much as digits as its factorization.

4133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4133120 is about 2033.0076241864. The cubic root of 4133120 is about 160.4818805708.

Adding to 4133120 its reverse (213314), we get a palindrome (4346434).

The spelling of 4133120 in words is "four million, one hundred thirty-three thousand, one hundred twenty".